Question

Show that (7p-2 )^ + 56p=(7p
+ 2)^

Answer 1

$(7x - 2) {}^{2} + 56x \\ = 49 {x}^{2} + 4 - 28x + 56x \\ = 49 {x}^{2} + 4 + 28x \\ = {(7x + 2)}^{2}$
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Answer 2

Hi Friend ✋✋✋

To Prove :

( 7p - 2 ) ² + 56p = ( 7p + 2 ) ²

LHS = ( 7p - 2 ) ² + 56p

RHS = ( 7p + 2 ) ²

Proof :

LHS :

( 7p - 2 ) ² + 56p

By Using Identity II - [ a² + b² - 2ab = ( a - b )² ]

= [ ( 7p ) ² + 2² - ( 2 × ( 7p ) × 2 ) ] + 56p

= ( 7p ) ² + 2² - 28p + 56p

= ( 7p ) ² + 2² + 28p

= ( 7p ) ² + 2² + ( 2 × ( 7p ) × 2 )

By using Identity I - [ a² + b² + 2ab = ( a + b )² ]

= ( 7p + 2 ) ² = RHS


Hope it helps